The antiderivative of the sum is equal to the sum of the antiderivatives. Since the derivative of sine is cosine, the antiderivative of the function above is:
Y = sin(x) + 2x^2 + 5x + C
To get the answer, calculate Y(pi) - Y(0) = 2*(pi)^2 + 5*pi
The numerical answer is approximately 35.45

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Question:

A person holding a gun is standing on a frictionless sheet of ice. The person and the gun together have a mass of 75 kg. The person then shoots the gun. The bullet with mass 15 g leaves the barrel at 1000 m/s. How fast will the person holding the gun be moving backward after the shot?

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